monotonically


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mon·o·tone

 (mŏn′ə-tōn′)
n.
1. A succession of sounds or words uttered in a single tone of voice.
2. Music
a. A single tone repeated with different words or time values, especially in a rendering of a liturgical text.
b. A chant in a single tone.
3. Sameness or dull repetition in sound, style, manner, or color.
adj.
1. Characterized by or uttered in a monotone: a monotone recitation of names.
2. Of or having a single color: a cat with a monotone coat.
3. also mon·o·ton·ic (mŏn′ə-tŏn′ĭk) Mathematics Designating sequences, the successive members of which either consistently increase or decrease but do not oscillate in relative value. Each member of a monotone increasing sequence is greater than or equal to the preceding member; each member of a monotone decreasing sequence is less than or equal to the preceding member.

[From Greek monotonos, monotonous; see monotonous.]

mon′o·ton′ic (-tŏn′ĭk) adj.
mon′o·ton′i·cal·ly adv.

monotonically

(ˌmɒnəˈtɒnɪkəlɪ)
adv
1. (Phonetics & Phonology) in a monotonic manner
2. (Mathematics) in a monotonic manner
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References in periodicals archive ?
When adjusting for demographic characteristics, football exposures, and current health factors, there was a significant monotonically increasing association between concussion symptom score and the odds of reporting the low testosterone indicator (highest versus lowest quartile: odds ratio, 2.39; P < 0.001).
After this, expenses on travelling monotonically decrease and are replaced by health care expenses.
Gersbach offers a second insight in chapter 8: in the case of aggregate shocks to benefits and costs, the efficiency of democratic constitutions can be preserved if supermajority mies are replaced by tax-sensitive rules, where the required majority is a strictly monotonically increasing function of aggregate tax revenues.
The function f(x) takes values of different signs at the ends of each interval and increases monotonically from -[infinity] to +[infinity] inside of the interval.
It decays monotonically with increasing distance from the feedpoint due to propagation radiation (A in Figure 1).
In the following, we set [mathematical expression not reproducible] and [mathematical expression not reproducible], where [mathematical expression not reproducible] and [mathematical expression not reproducible], and [[phi].sub.1] is a monotonically decreasing function of [[bar.I].sup.c.sub.i] .
In the case of the generalized weight functions with parameter [alpha], we prove that all zeros, respectively positive zeros when the weight function is symmetric, are monotonically decreasing as functions of [alpha].
The voltage monotonically increases from minimum to maximum as the arc attachment moves along the anode downstream of the plasma flow.
(1) {[r.sub.n]} is eventually monotonically decreasing.
At equilibrium, the expected trip cost is a strictly monotonically increasing function of the travel demand.
[16] reported that the [M.sub.s] of MION increased slightly with size from 6 to 40 nm, and the SAR values increased monotonically with size enlarged (325 kHz, 20.7 kA/m), while SAR was really low for MION below 11 nm.
It is widely known that the carbon number of maximum concentration components (CNMCC) increases monotonically with C[O.sub.2] injection volume, which has been confirmed by the experimental results [10, 11].